De triangulis omnimodis
E541455
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ trigonometry text ⓘ |
| aim |
to provide mathematical tools for astronomy
ⓘ
to systematize plane and spherical trigonometry ⓘ |
| audience | scholars of astronomy and mathematics ⓘ |
| author | Regiomontanus NERFINISHED ⓘ |
| century | 15th century ⓘ |
| completionYear | 1464 ⓘ |
| compositionPeriod | 1460s ⓘ |
| culturalContext | Renaissance humanism NERFINISHED ⓘ |
| dedication | Cardinal Bessarion NERFINISHED ⓘ |
| field |
mathematics
ⓘ
plane trigonometry ⓘ spherical trigonometry ⓘ trigonometry ⓘ |
| genre | scholarly Latin mathematics ⓘ |
| hasPart |
Book I
NERFINISHED
ⓘ
Book II NERFINISHED ⓘ Book III ⓘ Book IV ⓘ Book V NERFINISHED ⓘ |
| historicalSignificance |
first systematic treatise devoted entirely to trigonometry in Europe
ⓘ
standard reference for trigonometry in the 15th and 16th centuries ⓘ |
| influenceOn |
Renaissance astronomy
ⓘ
development of early modern trigonometry ⓘ navigation and surveying ⓘ |
| legacy | considered a foundational work in the history of trigonometry ⓘ |
| method | Euclidean-style axiomatic presentation ⓘ |
| notation | pre-modern trigonometric notation based on chords and sines ⓘ |
| originalLanguage | Latin ⓘ |
| placeOfWriting | Vienna NERFINISHED ⓘ |
| printingStatus | circulated in manuscript before print ⓘ |
| relatedPerson |
Georg von Peuerbach
NERFINISHED
ⓘ
Ptolemy NERFINISHED ⓘ |
| relatedWork | Almagest NERFINISHED ⓘ |
| structure | five books ⓘ |
| subject |
astronomical applications
ⓘ
chord function ⓘ cosine-related ratios ⓘ plane triangles ⓘ properties of triangles ⓘ sine function ⓘ spherical triangles ⓘ trigonometric functions ⓘ |
| titleTranslation | On Triangles of Every Kind NERFINISHED ⓘ |
| uses |
geometric proofs
ⓘ
numerical trigonometric tables ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.